The study investigated types of errors made by learning disabled children by analyzing written responses to multiplication and division problems. Error classifications are discussed, and possible causes are suggested. The importance of thorough investigation of errors by teachers is stressed. (Author/DB)

Four experiments were conducted to study explanations of why children make relative number judgments inconsistent with their counting. Results are discussed in relation to judgments children make when they use matching, and in light of Klahr and Wallace's (1973) account of number development. (PCB)

Examined whether representational changes in digit memory are functions of children's expertise in mental abacus operation when abacus operators reproduced series of digits forward or backward. Found skilled operators equally facile with forward and backward reproduction, but novices slower going backward. Suggests advanced operators apply their…

Use of an ancient method of mental calculation with aliquot parts is illustrated. Other tips for helping children reason are also included. (MNS)

Computational algorithms from American textbooks copyrighted prior to 1900 are presented--some that convey the concept, some just for special cases, and some just for fun. Algorithms for each operation with whole numbers are presented and analyzed. (MNS)

Examines what constraints govern the physical process of computation, considering such areas as whether a minimum amount of energy is required per logic step. Indicates that although there seems to be no minimum, answers to other questions are unresolved. Examples used include DNA/RNA, a Brownian clockwork turning machine, and others. (JN)

Shows that the rules of thumb for propagating significant figures through arithmetic calculations frequently yield misleading results. Also describes two procedures for performing this propagation more reliably than the rules of thumb. However, both require considerably more calculational effort than do the rules. (JN)

A calculator intervention produced a marked increase in correct computational performance of eight educable mentally retarded adolescents over baseline for addition, subtraction, multiplication, and division problems. Use of calculators enabled Ss to complete relatively complex arithmetic problems with greater accuracy than nonhandicapped Ss…

Discusses the basic computer-oriented skills needed by chemical engineering graduates, suggesting that these skills be introduced and reinforced throughout the chemical engineering curriculum. Issues related to programming and scientific computation are noted. (JN)

A programming problem on calculating the roots of a quadratic equation is used to illustrate the inexactness of computation with a digital computer. (DT)

This paper discusses three software packages that offer unique features and options that greatly simplify the research package for conducting surveys. The first package, EPSILON, from Resource Group, Ltd. of Dallas (Texas) is designed to perform a variety of sample size calculations covering most of the commonly encountered survey research…

This textbook's goal is to train and develop the mind by means of the science of numbers. This work is designed both for primary and advanced classes. The first part is adapted to beginners, while the latter part is peculiarly fitted to give to the more advanced student that thorough mental drilling in the analysis of numbers, which furnishes the…

This textbook's goal is to train and develop the mind by means of the science of numbers. Numbers are the instruments here employed to strengthen the memory, to cultivate the faculty of abstraction, and to sharpen and develop the reasoning powers.

Advantages and disadvantages of using hand-held calculators in the elementary school mathematics program are discussed; implications for instruction and for the curriculum are considered briefly. (DT)